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1)  FCGP-regular rings
FCGP-正则环
1.
The concept of FCGP-regular rings and FCGP-IF rings are given.
首先,引入FCGP-平坦模的概念,研究其性质及等价命题;其次,引入FCGP-正则环和FCGP-IF环的概念,证明了正则环、FCGP-正则环和IF环、FCGP-IF环之间的关系,并给出半单环的刻划。
2)  FCGP-IF rings
FCGP-IF环
1.
The concept of FCGP-regular rings and FCGP-IF rings are given.
首先,引入FCGP-平坦模的概念,研究其性质及等价命题;其次,引入FCGP-正则环和FCGP-IF环的概念,证明了正则环、FCGP-正则环和IF环、FCGP-IF环之间的关系,并给出半单环的刻划。
3)  FCGP-ring
FCGP环
1.
A ring R is said to be a FCGP-ring if each FCG-projective R-module is projective,some equivalent conditions of FCG-projective modules are given,left V-rings and semisimple rings are characterized by FCG-projective modules,characters and equivalent conditions of FCGP-rings are discussed.
环 R称为 FCGP环 ,如果任一 FCG投射 R模都为投射模 。
4)  strongly regular ring
强正则环
1.
Several new characteristic properties of strongly regular rings are also given.
本文研究满足条件:每个单奇异右(或左)R-模是GP-内射的SF-环,并给出了强正则环的一些刻划。
2.
We characterize strongly regular rings via generalized weakly ideals.
通过单边理想是广义弱理想来刻画强正则环,证明了下列条件是等价的:①R是强正则环;②R是半素的左GP-V′-环,且每一个极大的左理想是广义弱理想;③R是半素的左GP-V′-环,且每一个极大的右理想是广义弱理想。
3.
The paper has researched module comparability theories about regular rings,including the module of regular rings and characterizations about modules over strongly regular rings.
主要对正则环的相关理论进行了研究,包括正则环理想上的模比较,并进一步研究了强正则环的模刻画。
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5)  C R regular ring
CR-正则环
6)  regular ring
正则环
1.
Some properties on group-graded weakly regular rings;
群分次弱正则环的若干性质
2.
We show some relations of morphic ring,G-morphic ring,PP-ring,GPP-ring,Bear ring and regular ring.
讨论了morphic环,G-morphic环,PP环,GPP环,Bear环与正则环之间的关系。
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补充资料：可则
1.可作准则。 2.可;就。
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